R. Clozier, Le r??seau ??lectrique fran??ais, Annales de G??ographie, vol.43, issue.242, pp.113-125, 1934.
DOI : 10.3406/geo.1934.10463

R. Haas, G. Lettner, H. Auer, and N. Duic, The looming revolution: How photovoltaics will change electricity markets in Europe fundamentally, Energy, vol.57, pp.38-43, 2013.
DOI : 10.1016/j.energy.2013.04.034

E. Lantz, R. Wiser, and M. Hand, The past and future cost of wind energy, 2012.

G. Barbose, Tracking the sun vi: An historical summary of the installed price of photovoltaics in the united states from, 1998.

Y. Liu, J. Bebic, B. Kroposki, J. De-bedout, and W. Ren, Distribution System Voltage Performance Analysis for High-Penetration PV, 2008 IEEE Energy 2030 Conference, pp.1-8, 2008.
DOI : 10.1109/ENERGY.2008.4781069

H. Wirth, Recent Facts about Photovoltaics in Germany, 2014.

H. Chen, Progress in electrical energy storage system: A critical review, Progress in Natural Science, vol.19, issue.3, pp.291-312, 2009.
DOI : 10.1016/j.pnsc.2008.07.014

A. Abbas, G. Akhil, A. B. Huff, B. C. Currier, and . Kaun, DOE/EPRI 2013 Electricity Storage Handbook in Collaboration with NRECA, 2013.

P. Denholm, E. Ela, B. Kirby, and M. Milligan, The role of energy storage with renewable electricity generation, 2010.
DOI : 10.2172/972169

A. Gonzalez, B. Gallachoir, E. Mckeogh, and K. Lynch, Study of electricity storage technologies and their potential to address wind energy intermittency in ireland, 2004.

R. Daniel and . Shiman, Explaining the collapse of the british electrical supply industry in the 1880s: Gas versus electric lighting prices, Business and Economic History, vol.22, issue.1, pp.318-327, 1993.

D. Christophe, 50 ans d'extension du réseau électrique en france. Flux, pp.85-86, 2001.

J. Angelier, Electricité et gaz naturel : du monopole public à la concurrence réglementée. une perspective historique, 2005.

B. Dominique, Reconstruire la france après la seconde guerre mondiale : les débuts d'electricité de france (1946-1953), Entreprises et histoire, vol.70, pp.54-75, 2013.

T. Ackermann, G. Andersson, and L. Soder, Distributed generation: a definition, Electric Power Systems Research, vol.57, issue.3, pp.195-204, 2001.
DOI : 10.1016/S0378-7796(01)00101-8

W. Kramer, . Chakraborty, H. Kroposki, and . Thomas, Advanced power electronic interfaces for distributed energy systems, National Renewable Energy Laboratory, vol.1, pp.581-42672, 2008.

H. Donella, . Meadows, I. Edward, P. Goldsmith, and . Meadow, The limits to growth, Earth Island Limited London, vol.381, 1972.

D. Meadows, J. Randers, and D. Meadows, Limits to growth: the 30-year update, 2004.

C. Cleveland, . Costanza, R. Hall, and . Kaufmann, Energy and the U.S. Economy: A Biophysical Perspective, Science, vol.225, issue.4665, pp.890-897, 1984.
DOI : 10.1126/science.225.4665.890

J. David, C. A. Murphy, and . Hall, Year in review-eroi or energy return on (energy) invested, Annals of the New York Academy of Sciences, vol.1185, issue.1, pp.102-118, 2010.

A. Charles, S. Hall, . Balogh, J. David, and . Murphy, What is the minimum eroi that a sustainable society must have? Energies, pp.25-47, 2009.

K. Ajay, . Gupta, A. Charles, and . Hall, A review of the past and current state of eroi data, 24] Intergovernmental Panel on Climate Change and John Theodore Houghton. IPCC First Assessment Report, pp.1796-1809, 2011.

L. Martin and . Parry, Climate Change 2007: Mitigation of Climate Change: contribution of Working Group III to the fourth assessment report of the Intergovernmental Panel on Climate Change, 2007.

D. Weisser, A guide to life-cycle greenhouse gas (GHG) emissions from electric supply technologies, Energy, vol.32, issue.9, pp.1543-1559, 2007.
DOI : 10.1016/j.energy.2007.01.008

G. Walker, Community renewable energy: What should it mean? Energy Policy, pp.497-500, 2008.
DOI : 10.1016/j.enpol.2007.10.019

J. Rifkin, The third industrial revolution, Engineering & Technology, vol.3, issue.7, pp.26-27, 2008.
DOI : 10.1049/et:20080718

H. Scheer, Energy autonomy: the economic, social and technological case for renewable energy, 2007.

P. Droege, 100% renewable: energy autonomy in action, 2012.

T. Couture and Y. Gagnon, An analysis of feed-in tariff remuneration models: Implications for renewable energy investment, Energy Policy, vol.38, issue.2, pp.955-965, 2010.
DOI : 10.1016/j.enpol.2009.10.047

R. Naim, G. Darghouth, R. Barbose, and . Wiser, The impact of rate design and net metering on the bill savings from distributed {PV} for residential customers in california, Energy Policy, vol.39, issue.9, pp.5243-5253, 2011.

M. Jaccard, Renewable Portfolio Standard, Encyclopedia of Energy, vol.5, pp.413-421, 2004.
DOI : 10.1016/B0-12-176480-X/00529-5

J. Paulus and M. Sijm, The performance of feed-in tariffs to promote renewable electricity in European countries, 2002.

R. Wiser, C. Namovicz, M. Gielecki, and R. Smith, The Experience with Renewable Portfolio Standards in the United States, The Electricity Journal, vol.20, issue.4, pp.8-20, 2007.
DOI : 10.1016/j.tej.2007.03.009

T. Sansawatt, L. F. Ochoa, and G. P. Harrison, Integrating distributed generation using decentralised voltage regulation, IEEE PES General Meeting, pp.1-6, 2010.
DOI : 10.1109/PES.2010.5588127

J. Mcdonald, Adaptive intelligent power systems: Active distribution networks, Energy Policy, vol.36, issue.12, pp.4346-4351, 2008.
DOI : 10.1016/j.enpol.2008.09.038

J. Zhang, H. Cheng, and C. Wang, Technical and economic impacts of active management on distribution network, International Journal of Electrical Power & Energy Systems, vol.31, issue.2-3, pp.130-138, 2009.
DOI : 10.1016/j.ijepes.2008.10.016

T. S. Basso, System Impacts from Interconnection of Distributed Resources: Current Status and Identification of Needs for Further Development, 2009.
DOI : 10.2172/948753

W. Zhiqun, Z. Shouzhen, Z. Shuangxi, H. Renle, and W. Liangui, Impacts of distributed generation on distribution system voltage profile. Automation of Electric Power Systems, p.14, 2004.

L. Carmen, . Borges, M. Djalma, and . Falcão, Impact of distributed generation allocation and sizing on reliability, losses and voltage profile, Power Tech Conference Proceedings, p.5, 2003.

W. Jeff, . Smith, L. Daniel, and . Brooks, Voltage impacts of distributed wind generation on rural distribution feeders, Transmission and Distribution Conference and Exposition, pp.492-497, 2001.

A. Piccolo and P. Siano, Evaluating the impact of network investment deferral on distributed generation expansion . Power Systems, IEEE Transactions on, vol.24, issue.3, pp.1559-1567, 2009.

V. H. Mendez, J. Rivier, J. I. De-la-fuente, T. Gamez, J. Arceluz et al., Impact of distributed generation on distribution investment deferral, International Journal of Electrical Power & Energy Systems, vol.28, issue.4, pp.244-252, 2006.
DOI : 10.1016/j.ijepes.2005.11.016

D. An, M. Le, . Kashem, G. Negnevitsky, and . Ledwich, Optimal distributed generation parameters for reducing losses with economic consideration, Power Engineering Society General Meeting, pp.1-8, 2007.

D. Singh, D. Singh, and K. Verma, Ga based optimal sizing & placement of distributed generation for loss minimization, International Journal of Electrical and Computer Engineering, vol.2, issue.8, pp.556-562, 2007.

L. Kumpulainen and K. Kauhaniemi, Analysis of the impact of distributed generation on automatic reclosing, IEEE PES Power Systems Conference and Exposition, 2004., pp.603-608, 2004.
DOI : 10.1109/PSCE.2004.1397623

T. Michael and . Doyle, Reviewing the impacts of distributed generation on distribution system protection, Power Engineering Society Summer Meeting, pp.103-105, 2002.

M. Tales, . Britto, R. Diego, . Morais, A. Marco et al., Distributed generation impacts on the coordination of protection systems in distribution networks, Transmission and Distribution Conference and Exposition: Latin America, pp.623-628, 2004.

M. Benhabib, J. Myrzik, and . Duarte, Harmonic effects caused by large scale PV installations in LV network, 2007 9th International Conference on Electrical Power Quality and Utilisation, pp.1-6, 2007.
DOI : 10.1109/EPQU.2007.4424134

J. Schlabbach and A. Gross, Harmonic current emission of photovoltaic inverters, 19th Int. Conf. Electricity Distribution, 2007.

V. Salas, M. Alonso-abella, E. Olias, A. Chenlo, and . Barrado, Dc current injection into the network from pv inverters of< 5kw for low-voltage small grid-connected pv systems. Solar energy materials and solar cells, pp.801-806, 2007.

J. Smith, R. Michael, . Milligan, A. Edgar, B. Demeo et al., Utility wind integration and operating impact state of the art, IEEE Transactions on, vol.22, issue.3, pp.900-908, 2007.

R. Doherty, O. Mark, and . Malley, A new approach to quantify reserve demand in systems with significant installed wind capacity. Power Systems, IEEE Transactions on, vol.20, issue.2, pp.587-595, 2005.

A. Miguel, . Ortega-vazquez, S. Daniel, and . Kirschen, Estimating the spinning reserve requirements in systems with significant wind power generation penetration. Power Systems, IEEE Transactions on, vol.24, issue.1, pp.114-124, 2009.

M. Armando, . Leite-da-silva, S. Warlley, L. Sales, R. Antônio-da-fonseca-manso et al., Long-term probabilistic evaluation of operating reserve requirements with renewable sources, IEEE Transactions on, vol.25, issue.1, pp.106-116, 2010.

G. Strbac, A. Shakoor, M. Black, D. Pudjianto, and T. Bopp, Impact of wind generation on the operation and development of the UK electricity systems, Electric Power Systems Research, vol.77, issue.9, pp.1214-1227, 2007.
DOI : 10.1016/j.epsr.2006.08.014

K. Turitsyn, P. Sulc, S. Backhaus, and M. Chertkov, Options for Control of Reactive Power by Distributed Photovoltaic Generators, Proceedings of the IEEE, pp.1063-1073, 2011.
DOI : 10.1109/JPROC.2011.2116750

S. Bolognani and S. Zampieri, A Distributed Control Strategy for Reactive Power Compensation in Smart Microgrids, IEEE Transactions on Automatic Control, vol.58, issue.11, 2013.
DOI : 10.1109/TAC.2013.2270317

S. Kundu, A. Ian, and . Hiskens, Distributed control of reactive power from photovoltaic inverters, 2013 IEEE International Symposium on Circuits and Systems (ISCAS2013), pp.249-252, 2013.
DOI : 10.1109/ISCAS.2013.6571829

M. Thomson, Automatic voltage-control relays and embedded generation, Power Engineering Journal, vol.14, issue.3, pp.93-99, 2000.
DOI : 10.1049/pe:20000301

J. Hiscock, N. Hiscock, and A. Kennedy, Fundamentals Ltd-UK, and Northern Ireland Electricity-UK. Advanced voltage control for networks with distributed generation, CIRED Proceedings, 2007.

A. Ferry, A. Viawan, J. Sannino, and . Daalder, Voltage control with on-load tap changers in medium voltage feeders in presence of distributed generation. Electric power systems research, pp.1314-1322, 2007.

A. Kulmala, K. Maki, S. Repo, and P. Jarventausta, Active Voltage Level Management of Distribution Networks with Distributed Generation using On Load Tap Changing Transformers, 2007 IEEE Lausanne Power Tech, pp.455-460, 2007.
DOI : 10.1109/PCT.2007.4538360

R. Tonkoski, A. Luiz, . Lopes, H. Tarek, and . El-fouly, Coordinated Active Power Curtailment of Grid Connected PV Inverters for Overvoltage Prevention, IEEE Transactions on Sustainable Energy, vol.2, issue.2, pp.139-147, 2011.
DOI : 10.1109/TSTE.2010.2098483

R. Tonkoski, D. Lopes, and . Turcotte, Active power curtailment of PV inverters in diesel hybrid mini-grids, 2009 IEEE Electrical Power & Energy Conference (EPEC), pp.1-6, 2009.
DOI : 10.1109/EPEC.2009.5420964

F. Luis, A. Ochoa, C. Keane, . Dent, P. Gareth et al., Applying active network management schemes to an irish distribution network for wind power maximisation, Electricity Distribution-Part 1 20th International Conference and Exhibition on, pp.1-4, 2009.

N. Panagis, . Vovos, E. Aristides, R. Kiprakis, . Wallace et al., Centralized and distributed voltage control: Impact on distributed generation penetration. Power Systems, IEEE Transactions on, vol.22, issue.1, pp.476-483, 2007.

. Frank-van-overbeeke, Active networks: Distribution networks facilitating integration of distributed generation, International symposium on distributed generation: power system and market aspects, pp.1-7, 2002.

P. Djapic, C. Ramsay, D. Pudjianto, G. Strbac, J. Mutale et al., Taking an active approach. Power and Energy Magazine, IEEE, vol.5, issue.4, pp.68-77, 2007.
DOI : 10.1109/mpae.2007.376582

S. Chowdhury and P. Crossley, Microgrids and active distribution networks, 2009.
DOI : 10.1049/PBRN006E

J. Mcdonald, Adaptive intelligent power systems: Active distribution networks, Energy Policy, vol.36, issue.12, pp.4346-4351, 2008.
DOI : 10.1016/j.enpol.2008.09.038

T. Gonen, Electric power distribution engineering, 2014.

D. Christian, S. Adamo, C. Jupe, and . Abbey, Development and operation of active distribution network: results of cigre c6.11 working group, CIRED 2011. 21st International Conference and Exhibition on, pp.1-4, 2011.

F. Pilo, G. Pisano, and G. G. Soma, Advanced DMS to manage active distribution networks, 2009 IEEE Bucharest PowerTech, pp.1-8, 2009.
DOI : 10.1109/PTC.2009.5281947

E. Dall-'anese, H. Zhu, and G. B. Giannakis, Distributed optimal power flow for smart microgrids. Smart Grid, IEEE Transactions on, vol.4, issue.3, pp.1464-1475, 2013.

M. J. Dolan, E. M. Davidson, G. W. Ault, F. Coffele, I. Kockar et al., Using optimal power flow for management of power flows in active distribution networks within thermal constraints, Universities Power Engineering Conference (UPEC) Proceedings of the 44th International, pp.1-5, 2009.

T. Sansawatt, J. O. Donnell, L. F. Ochoa, and G. P. Harrison, Decentralised voltage control for active distribution networks, Universities Power Engineering Conference (UPEC), 2009 Proceedings of the 44th International, pp.1-5, 2009.

H. Pandzic, M. Juan, . Morales, J. Antonio, I. Conejo et al., Offering model for a virtual power plant based on stochastic programming, Applied Energy, vol.105, issue.0, pp.282-292, 2013.
DOI : 10.1016/j.apenergy.2012.12.077

H. Pandzic, I. Kuzle, and T. Capuder, Virtual power plant mid-term dispatch optimization, Applied Energy, vol.101, issue.0, pp.134-141, 2013.
DOI : 10.1016/j.apenergy.2012.05.039

R. Caldon, A. R. Patria, and R. Turri, Optimisation algorithm for a virtual power plant operation, Universities Power Engineering Conference, pp.1058-1062, 2004.

C. Shi-you, B. Traeholt, and . Poulsen, A market-based Virtual Power Plant, 2009 International Conference on Clean Electrical Power, pp.460-465, 2009.
DOI : 10.1109/ICCEP.2009.5212012

H. Saboori, M. Mohammadi, and R. Taghe, Virtual Power Plant (VPP), Definition, Concept, Components and Types, 2011 Asia-Pacific Power and Energy Engineering Conference, pp.1-4, 2011.
DOI : 10.1109/APPEEC.2011.5749026

Z. Hu and F. Li, Cost-Benefit Analyses of Active Distribution Network Management, Part I: Annual Benefit Analysis, IEEE Transactions on Smart Grid, vol.3, issue.3, pp.1067-1074, 2012.
DOI : 10.1109/TSG.2012.2205412

A. Viehweider, B. Bletterie, and D. Burnier-de-castro, Advanced coordinated voltage control strategies for active distribution network operation, IET Conference Publications, pp.1-4, 2009.
DOI : 10.1049/cp.2009.0937

D. Pudjianto, G. Ramsay, and . Strbac, Virtual power plant and system integration of distributed energy resources. Renewable power generation, IET, vol.1, issue.1, pp.10-16, 2007.

J. Carpentier, Contribution to the economic dispatch problem, pp.431-447, 1962.

E. Dall-'anese, H. Zhu, and G. B. Giannakis, Distributed optimal power flow for smart microgrids, IEEE Transactions of Smart Grid, 2012.

B. Venkatesh, Optimal power flow in radial distribution systems, 2010 Conference Proceedings IPEC, pp.18-21, 2010.
DOI : 10.1109/IPECON.2010.5697123

R. Daniel-zimmerman, C. E. Murillo-sanchez, and R. Thomas, MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education, IEEE Transactions on Power Systems, vol.26, issue.1, pp.12-19, 2011.
DOI : 10.1109/TPWRS.2010.2051168

M. Alrashidi and M. Alhajri, Optimal planning of multiple distributed generation sources in distribution networks: A new approach. Energy Conversion and Management, pp.3301-3308, 2011.

S. Biswas, S. Kumar-goswami, and A. Chatterjee, Optimum distributed generation placement with voltage sag effect minimization. Energy Conversion and Management, pp.163-174, 2012.

M. A. Kashem, A. D. Le, M. Negnevitsky, and G. Ledwich, Distributed generation for minimization of power losses in distribution systems, 2006 IEEE Power Engineering Society General Meeting, 2006.
DOI : 10.1109/PES.2006.1709179

A. Keane and M. O. Malley, Optimal allocation of embedded generation on distribution networks. Power Systems, IEEE Transactions on, vol.20, issue.3, pp.1640-1646, 2005.

V. F. Martins and C. L. Borges, Active Distribution Network Integrated Planning Incorporating Distributed Generation and Load Response Uncertainties, IEEE Transactions on Power Systems, vol.26, issue.4, pp.2164-2172, 2011.
DOI : 10.1109/TPWRS.2011.2122347

P. Kevin, Y. Schneider, . Chen, P. David, . Chassin et al., Modern grid initiative: Distribution taxonomy final report, 2008.

W. El-khattam and M. M. Salama, Distributed generation technologies, definitions and benefits, Electric Power Systems Research, vol.71, issue.2, pp.119-128, 2004.
DOI : 10.1016/j.epsr.2004.01.006

G. Pepermans, J. Driesen, D. Haeseldonckx, R. Belmans, and W. D-'haeseleer, Distributed generation: definition, benefits and issues, Energy Policy, vol.33, issue.6, pp.787-798, 2005.
DOI : 10.1016/j.enpol.2003.10.004
URL : https://lirias.kuleuven.be/bitstream/123456789/120220/1/ETE-WP-2003-08.pdf

R. Haas, G. Lettner, H. Auer, and N. Duic, The looming revolution: How photovoltaics will change electricity markets in Europe fundamentally, Energy, vol.57, issue.0, pp.38-43, 2013.
DOI : 10.1016/j.energy.2013.04.034

J. Cutler, R. K. Cleveland, and . Kaufmann, Oil supply and oil politics: Déjà vu all over again, Energy Policy, vol.31, issue.6, pp.485-489, 2003.

N. Greene and R. Hammerschlag, Small and Clean Is Beautiful, The Electricity Journal, vol.13, issue.5, pp.50-60, 2000.
DOI : 10.1016/S1040-6190(00)00118-4

R. E. Brown, J. Pan, X. Feng, and K. Koutlev, Siting distributed generation to defer T&D expansion, 2001 IEEE/PES Transmission and Distribution Conference and Exposition. Developing New Perspectives (Cat. No.01CH37294), pp.622-627, 2001.
DOI : 10.1109/TDC.2001.971309

T. Berry and M. Jaccard, The renewable portfolio standard: design considerations and an implementation survey, Fuel and Energy Abstracts, vol.43, issue.4, pp.263-277, 2001.
DOI : 10.1016/S0140-6701(02)86377-9

H. A. Gil and G. Joos, Models for quantifying the economic benefits of distributed generation. Power Systems, IEEE Transactions on, vol.23, issue.2, pp.327-335, 2008.

D. Mcconnell, P. Hearps, D. Eales, M. Sandiford, R. Dunn et al., Retrospective modeling of the merit-order effect on wholesale electricity prices from distributed photovoltaic generation in the Australian National Electricity Market, Energy Policy, vol.58, issue.0, pp.58-75, 2013.
DOI : 10.1016/j.enpol.2013.01.052

J. A. Greatbanks, D. H. Popovic, M. Begovic, A. Pregelj, and T. C. Green, On optimization for security and reliability of power systems with distributed generation, 2003 IEEE Bologna Power Tech Conference Proceedings,, p.8, 2003.
DOI : 10.1109/PTC.2003.1304111

N. Duong-quoc-hung, R. C. Mithulananthan, and . Bansal, An optimal investment planning framework for multiple distributed generation units in industrial distribution systems, Applied Energy, vol.124, issue.0, pp.62-72, 2014.
DOI : 10.1016/j.apenergy.2014.03.005

V. H. Quezada, J. R. Abbad, and T. G. Roman, Assessment of energy distribution losses for increasing penetration of distributed generation, IEEE Transactions on, vol.21, issue.2, pp.533-540, 2006.

M. T. Doyle, Reviewing the impacts of distributed generation on distribution system protection, IEEE Power Engineering Society Summer Meeting,, pp.103-105, 2002.
DOI : 10.1109/PESS.2002.1043186

B. George, P. Dantzig, and . Wolfe, The decomposition algorithm for linear programs, Econometrica: Journal of the Econometric Society, pp.767-778, 1961.

F. Jacques and . Benders, Partitioning procedures for solving mixedvariables programming problems, Numerische mathematik, vol.4, issue.1, pp.238-252, 1962.

M. Arthur and . Geoffrion, Generalized benders decomposition [125] Guy Cohen. Auxiliary problem principle and decomposition of optimization problems, Journal of optimization theory and applications Journal of optimization Theory and Applications, vol.10, issue.323, pp.237-260277, 1972.

G. Cohen, Optimization by decomposition and coordination: a unified approach Automatic Control, IEEE Transactions on, vol.23, issue.2, pp.222-232, 1978.

E. Castillo, . Minguez, R. Conejo, and . Garcia-bertrand, Decomposition techniques in mathematical programming, 2006.

N. Alguacil and A. Conejo, Multiperiod optimal power flow using benders decomposition. Power Systems, IEEE Transactions on, vol.15, issue.1, pp.196-201, 2000.

H. Habibollahzadeh and J. A. Bubenko, Application of decomposition techniques to short-term operation planning of hydrothermal power system. Power Systems, IEEE Transactions on, vol.1, issue.1, pp.41-47, 1986.

A. Monticelli, M. V. Pereira, and S. Granville, Securityconstrained optimal power flow with post-contingency corrective rescheduling. Power Systems, IEEE Transactions on, vol.2, issue.1, pp.175-180, 1987.

S. Binato, M. V. Pereira, and S. Granville, A new benders decomposition approach to solve power transmission network design problems, IEEE Transactions on, vol.16, issue.2, pp.235-240, 2001.

G. Côtó and M. A. Laughton, Decomposition techniques in power system planning: the Benders partitioning method, International Journal of Electrical Power & Energy Systems, vol.1, issue.1, pp.57-64, 1979.
DOI : 10.1016/0142-0615(79)90032-2

H. Ma and S. M. Shahidehpour, Unit commitment with transmission security and voltage constraints. Power Systems, IEEE Transactions on, vol.14, issue.2, pp.757-764, 1999.
DOI : 10.1109/59.761909

Y. Fu, M. Shahidehpour, and Z. Li, Security-constrained unit commitment with ac constraints. Power Systems, IEEE Transactions on, vol.20, issue.2, pp.1001-1013, 2005.

S. Y. Abdelouadoud, R. Girard, T. Guiot, and F. Neirac, Optimal power flow of a distribution system based on increasingly tight cutting planes added to a second order cone relaxation, International Journal of Electrical Power & Energy Systems, vol.69, 2014.
DOI : 10.1016/j.ijepes.2014.12.084
URL : https://hal.archives-ouvertes.fr/hal-01104958

M. Farivar, R. Neal, C. Clarke, and S. Low, Optimal inverter VAR control in distribution systems with high PV penetration, 2012 IEEE Power and Energy Society General Meeting, pp.1-7, 2012.
DOI : 10.1109/PESGM.2012.6345736

D. Kennedy, New nuclear power generation in the UK: Cost benefit analysis, Energy Policy, vol.35, issue.7, pp.3701-3716, 2007.
DOI : 10.1016/j.enpol.2007.01.010

V. R. Sherkat, K. Moslehi, E. O. Lo, G. Sanchez, and J. Diaz, Modular and flexible software for medium and short-term hydrothermal scheduling. Power Systems, IEEE Transactions on, vol.3, issue.3, pp.1390-1396, 1988.
DOI : 10.1109/59.14607

D. Erling, K. D. Andersen, and . Andersen, The mosek interior point optimizer for linear programming: An implementation of the homogeneous algorithm. High Performance Optimization, pp.197-232, 2000.

F. Pilo, G. Celli, S. Mocci, and G. G. Soma, Active distribution network evolution in different regulatory environments, 7th Mediterranean Conference and Exhibition on Power Generation, Transmission, Distribution and Energy Conversion (MedPower 2010), pp.1-8, 2010.
DOI : 10.1049/cp.2010.0937

S. Gill, I. Kockar, and G. W. Ault, Dynamic Optimal Power Flow for Active Distribution Networks, IEEE Transactions on Power Systems, vol.29, issue.1, pp.121-131, 2014.
DOI : 10.1109/TPWRS.2013.2279263

P. S. Georgilakis and N. D. Hatziargyriou, Optimal Distributed Generation Placement in Power Distribution Networks: Models, Methods, and Future Research, IEEE Transactions on Power Systems, vol.28, issue.3, pp.3420-3428, 2013.
DOI : 10.1109/TPWRS.2012.2237043

S. Bose, S. H. Low, T. Teeraratkul, and B. Hassibi, Equivalent relaxations of optimal power flow. submitted for publication, 2014.

S. H. Low, Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence, IEEE Transactions on Control of Network Systems, vol.1, issue.1, 2014.
DOI : 10.1109/TCNS.2014.2309732

X. Bai, H. Wei, K. Fujisawa, and Y. Wang, Semidefinite programming for optimal power flow problems, International Journal of Electrical Power & Energy Systems, vol.30, issue.6-7, pp.383-392, 2008.
DOI : 10.1016/j.ijepes.2007.12.003

N. Li, L. Chen, and S. H. Low, Exact convex relaxation of OPF for radial networks using branch flow model, 2012 IEEE Third International Conference on Smart Grid Communications (SmartGridComm), pp.7-12, 2012.
DOI : 10.1109/SmartGridComm.2012.6485951

S. Frank, I. Steponavice, and S. Rebennack, Optimal power flow: a bibliographic survey i. Energy Systems, pp.221-258

S. Frank, I. Steponavice, and S. Rebennack, Optimal power flow: a bibliographic survey II, Energy Systems, vol.26, issue.1, pp.259-289
DOI : 10.1007/s12667-012-0057-x

S. Bose, D. F. Gayme, S. Low, and K. M. Chandy, Optimal power flow over tree networks, 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp.1342-1348, 2011.
DOI : 10.1109/Allerton.2011.6120323
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.452.990

L. Gan, N. Li, U. Topcu, and S. H. Low, Optimal power flow in distribution networks, Proc. 52nd IEEE Conference on Decision and Control, 2013.

B. Zhang and D. Tse, Geometry of feasible injection region of power networks, 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp.1508-1515, 2011.
DOI : 10.1109/Allerton.2011.6120346

J. Lavaei, D. Tse, and B. Zhang, Geometry of Power Flows and Optimization in Distribution Networks, IEEE Transactions on Power Systems, vol.29, issue.2, pp.572-583, 2014.
DOI : 10.1109/TPWRS.2013.2282086

R. Team, R: A Language and Environment for Statistical Computing . R Foundation for Statistical Computing

A. Gopalakrishnan, A. U. Raghunathan, D. Nikovski, and L. T. Biegler, Global optimization of optimal power flow using a branch amd bound algorithm, Communication, Control, and Computing (Allerton), 2012 50th Annual Allerton Conference on, pp.609-616, 2012.

A. Gopalakrishnan, A. U. Raghunathan, D. Nikovski, and L. T. Biegler, Global optimization of multi-period optimal power flow, 2013 American Control Conference, pp.1157-1164, 2013.
DOI : 10.1109/ACC.2013.6579992

S. Sojoudi, R. Madani, and J. Lavaei, Low-rank solution of convex relaxation for optimal power flow problem, 2013 IEEE International Conference on Smart Grid Communications (SmartGridComm), pp.636-641, 2013.
DOI : 10.1109/SmartGridComm.2013.6688030

R. Louca, P. Seiler, and E. Bitar, A rank minimization algorithm to enhance semidefinite relaxations of Optimal Power Flow, 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton), pp.1010-1020, 2013.
DOI : 10.1109/Allerton.2013.6736636

R. E. Gomory, Outline of an Algorithm for Integer Solutions to Linear Programs and An Algorithm for the Mixed Integer Problem, 50 Years of Integer Programming, pp.77-103, 1958.
DOI : 10.1007/978-3-540-68279-0_4

J. Lavaei and S. H. Low, Zero Duality Gap in Optimal Power Flow Problem, IEEE Transactions on Power Systems, vol.27, issue.1, pp.92-107, 2012.
DOI : 10.1109/TPWRS.2011.2160974

M. E. Baran and F. F. Wu, Optimal capacitor placement on radial distribution systems. Power Delivery, IEEE Transactions on, pp.725-734, 1989.
DOI : 10.1109/61.19265

O. Richardot, Réglage Coordonné de Tension dans les Réseaux de Distribution á l'aide de la Production Décentralisée, 2006.

S. Y. Abdelouadoud, R. Girard, and T. Guiot, Planning-oriented yearly simulation of energy storage operation in distribution system for profit maximization, voltage regulation and reserve provisionning, Electricity Distribution 22nd International Conference and Exhibition on, pp.1-4, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00972018

S. Y. Abdelouadoud, R. Girard, F. Neirac, and G. Thierry, A criticality criterion to decrease the computational burden in multistage distribution system optimal power flow, PowerTech (POWERTECH), pp.1-6, 2013.

A. Gabash and P. Li, Active-reactive optimal power flow in distribution networks with embedded generation and battery storage. Power Systems, IEEE Transactions on, vol.27, issue.4, pp.2026-2035, 2012.

R. Ali, . Ahmadi, C. Timothy, K. Green, . Swarnkar et al., Optimal power flow for autonomous regional active network management system PES'09 Optimal power flow of large distribution system solution for combined economic emission dispatch problem using partical swarm optimization, Power Systems ICPS'09. International Conference on, pp.1-7, 2009.

M. Dolan, E. Davidson, . Ault, . Coffele, J. Kockar et al., Using optimal power flow for management of power flows in active distribution networks within thermal constraints, Universities Power Engineering Conference Proceedings of the 44th International, pp.1-5, 2009.

S. Bruno, S. Lamonaca, G. Rotondo, U. Stecchi, and M. L. Scala, Unbalanced three-phase optimal power flow for smart grids. Industrial Electronics, IEEE Transactions on, issue.10, pp.584504-4513, 2011.

S. Paudyal, C. A. Canizares, and K. Bhattacharya, Three-phase distribution OPF in smart grids: Optimality versus computational burden, 2011 2nd IEEE PES International Conference and Exhibition on Innovative Smart Grid Technologies, pp.1-7, 2011.
DOI : 10.1109/ISGTEurope.2011.6162628
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.698.5994

S. Y. Abdelouadoud, R. Girard, T. Guiot, and F. Neirac, Distributed generation operational benefit assessment by coordinated economic dispatch and distribution optimal power flow, 2014.

E. Allie, J. Auld, G. Brouwer, and . Scott-samuelsen, Analysis and visualization method for understanding the voltage effect of distributed energy resources on the electric power system, Electric Power Systems Research, vol.82, issue.1, pp.44-53, 2012.